828762960 has 40 divisors (see below), whose sum is σ = 2569165920. Its totient is φ = 221003392.

The previous prime is 828762947. The next prime is 828762967. The reversal of 828762960 is 69267828.

It is a happy number.

828762960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828762967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1726350 + ... + 1726829.

It is an arithmetic number, because the mean of its divisors is an integer number (64229148).

Almost surely, 2^828762960 is an apocalyptic number.

828762960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

828762960 is an abundant number, since it is smaller than the sum of its proper divisors (1740402960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

828762960 is a wasteful number, since it uses less digits than its factorization.

828762960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3453195 (or 3453189 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 828762960 is about 28788.2434337352. The cubic root of 828762960 is about 939.3125198095.

The spelling of 828762960 in words is "eight hundred twenty-eight million, seven hundred sixty-two thousand, nine hundred sixty".